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A bag contains white marbles and yellow marbles, 24 in total. The number of white marbles is 9 less than 2 times the number of yellow marbles. How many white marbles are there?

Respuesta :

absor201

There are 13 white marbles in the bag.

Step-by-step explanation:

Given,

Total number of marbles = 24

Let,

x represent the number of white marbles.

y represent the number of yellow marbles.

According to given statement;

x+y=24      Eqn 1

x = 2y-9    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex](2y-9)+y=24\\2y-9+y=24\\3y=24+9\\3y=33[/tex]

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{33}{3}\\y=11[/tex]

Putting y=11 in Eqn 2

[tex]x=2(11)-9\\x=22-9\\x=13[/tex]

There are 13 white marbles in the bag.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/9621364
  • brainly.com/question/9539036

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